> Of course, most mathematicians would skip the section on partitions> for already knowing about them. That and other misunderstanding> will happen when you use established terms with your novel definitions.> > Are these correct?> > Definition 3.60.> A thorning of a point a in a complete lattice L> is a subset A, of L\bottom with sup S = a and> for all x,y in A, some d in L\bottom with d <= x,y

What is "L\bottom with sup S"?

> or do you simply mean A is down directed?> > Damn that weird, dysfunctional, squished inward equal sign, notation> > Definition 3.61.> A weak partition of an element a in a complete lattice L> is a subset A, of L\bottom with sup A = a and for all> x in A, there's some d in L\bottom with d <= a, sup A\x> > Definition 3.62.> Does A weird= B mean anthing?